%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ020-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:59:53 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.39s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 7 unt; 4 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 18 ~; 19 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X] :
( knight(X)
| ~ a_truth(statement_by(X))
| ~ person(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,hypothesis,
person(husband),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,hypothesis,
( knight(wife)
| a_truth(statement_by(husband)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,hypothesis,
( a_truth(statement_by(husband))
| ~ knight(wife) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ knight(husband),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,plain,
! [X0] :
( knight(X0)
| ~ a_truth(statement_by(X0))
| ~ person(X0) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f34,plain,
person(husband),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f40,plain,
( knight(wife)
| a_truth(statement_by(husband)) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f41,plain,
( a_truth(statement_by(husband))
| ~ knight(wife) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f42,plain,
~ knight(husband),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f43,definition,
( sQ0_spl
<=> a_truth(statement_by(husband)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f44,plain,
( ~ sQ0_spl
| a_truth(statement_by(husband)) ),
inference(component_clause,[status(thm)],[f43]) ).
fof(f46,definition,
( sQ1_spl
<=> knight(husband) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f47,plain,
( ~ sQ1_spl
| knight(husband) ),
inference(component_clause,[status(thm)],[f46]) ).
fof(f49,definition,
( sQ2_spl
<=> knight(wife) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f54,plain,
( sQ2_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f40,f43,f49]) ).
fof(f55,plain,
( sQ0_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f41,f49,f43]) ).
fof(f58,plain,
( ~ sQ0_spl
| knight(husband)
| ~ person(husband) ),
inference(resolution,[status(thm)],[f28,f44]) ).
fof(f59,definition,
( sQ3_spl
<=> person(husband) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f61,plain,
( sQ3_spl
| ~ person(husband) ),
inference(component_clause,[status(thm)],[f59]) ).
fof(f62,plain,
( ~ sQ0_spl
| sQ1_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f58,f59,f46,f43]) ).
fof(f63,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f61,f34]) ).
fof(f64,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f63]) ).
fof(f65,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f47,f42]) ).
fof(f66,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f65]) ).
fof(f67,plain,
$false,
inference(sat_refutation,[status(thm)],[f54,f55,f62,f64,f66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ020-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n004.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 03:45:04 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.08/0.39 % Refutation found
% 0.08/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.41 % Elapsed time: 0.037818 seconds
% 0.08/0.41 % CPU time: 0.096825 seconds
% 0.08/0.41 % Total memory used: 29.983 MB
% 0.08/0.41 % Net memory used: 29.874 MB
%------------------------------------------------------------------------------